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42212324 = 2273112797
BaseRepresentation
bin1010000100000…
…1101111100100
32221102121102102
42201001233210
541301243244
64104431232
71021541000
oct241015744
987377372
1042212324
1121911820
1212178518
13898c80b
14586b700
153a8c54e
hex2841be4

42212324 has 48 divisors (see below), whose sum is σ = 94012800. Its totient is φ = 16440480.

The previous prime is 42212299. The next prime is 42212333. The reversal of 42212324 is 42321224.

It is a junction number, because it is equal to n+sod(n) for n = 42212296 and 42212305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13694 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (1958600).

Almost surely, 242212324 is an apocalyptic number.

42212324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47006400).

42212324 is an abundant number, since it is smaller than the sum of its proper divisors (51800476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42212324 is a wasteful number, since it uses less digits than its factorization.

42212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2817 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 42212324 is about 6497.1011997659. The cubic root of 42212324 is about 348.1874293113.

Adding to 42212324 its reverse (42321224), we get a palindrome (84533548).

Subtracting 42212324 from its reverse (42321224), we obtain a square (108900 = 3302).

The spelling of 42212324 in words is "forty-two million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1078 1372 2156 2797 3773 5594 7546 11188 15092 19579 30767 39158 61534 78316 123068 137053 215369 274106 430738 548212 861476 959371 1507583 1918742 3015166 3837484 6030332 10553081 21106162 42212324